Similarity solution of axisymmetric flow in porous media

Li, L., Lockington, D. A., Parlange, M. B., Stagnitti, F., Jeng, D. S., Selker, J., Telyakovskiy, A. S., Barry, D. A. and Parlange, J. Y. (2005) Similarity solution of axisymmetric flow in porous media. Advances In Water Resources, 28 10: 1076-1082. doi:10.1016/j.advwatres.2005.04.004

Author Li, L.
Lockington, D. A.
Parlange, M. B.
Stagnitti, F.
Jeng, D. S.
Selker, J.
Telyakovskiy, A. S.
Barry, D. A.
Parlange, J. Y.
Title Similarity solution of axisymmetric flow in porous media
Journal name Advances In Water Resources   Check publisher's open access policy
ISSN 0309-1708
Publication date 2005
Sub-type Article (original research)
DOI 10.1016/j.advwatres.2005.04.004
Volume 28
Issue 10
Start page 1076
End page 1082
Total pages 7
Editor Casey T Miller
D. A. Barry
W. F. Krajewski
Place of publication Oxford
Publisher Elsevier Sci Ltd
Collection year 2005
Language eng
Subject C1
291101 Environmental Engineering Modelling
770402 Land and water management
Abstract Applications of the axisymmetric Boussinesq equation to groundwater hydrology and reservoir engineering have long been recognised. An archetypal example is invasion by drilling fluid into a permeable bed where there is initially no such fluid present, a circumstance of some importance in the oil industry. It is well known that the governing Boussinesq model can be reduced to a nonlinear ordinary differential equation using a similarity variable, a transformation that is valid for a certain time-dependent flux at the origin. Here, a new analytical approximation is obtained for this case. The new solution,, which has a simple form, is demonstrated to be highly accurate. (c) 2005 Elsevier Ltd. All rights reserved.
Keyword Water Resources
Drilling Mud Invasion
Density-dependent Flow
Groundwater Pumping
Axisymmetric Flow
Boussinesq Equation
Water-table Fluctuations
Boussinesq Equation
Coastal Aquifers
Q-Index Code C1

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Created: Wed, 15 Aug 2007, 05:47:56 EST